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# Solve the following :

Question:

A block of mass $250 \mathrm{~g}$ is kept on a vertical spring of spring constant $100 \mathrm{~N} / \mathrm{m}$ fixed from below. The spring is now compressed to have a length $10 \mathrm{~cm}$ shorter than its natural length and the system is released from this position. How high does the block rise? Take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$.

Solution:

By law of conservation of energy:

$\frac{1}{2} \mathrm{kx} \mathrm{x}^{2}=\mathrm{mgh}$

$\frac{1}{2} \times 100 \times 0.1=\mathrm{mgh}=0.25 \times 10 \times \mathrm{h}$